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Simplifying -2(4k + 1) + k = 8 + -5k Reorder the terms: -2(1 + 4k) + k = 8 + -5k (1 * -2 + 4k * -2) + k = 8 + -5k (-2 + -8k) + k = 8 + -5k Combine like terms: -8k + k = -7k -2 + -7k = 8 + -5k Solving -2 + -7k = 8 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -2 + -7k + 5k = 8 + -5k + 5k Combine like terms: -7k + 5k = -2k -2 + -2k = 8 + -5k + 5k Combine like terms: -5k + 5k = 0 -2 + -2k = 8 + 0 -2 + -2k = 8 Add '2' to each side of the equation. -2 + 2 + -2k = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2k = 8 + 2 -2k = 8 + 2 Combine like terms: 8 + 2 = 10 -2k = 10 Divide each side by '-2'. k = -5 Simplifying k = -5
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